The displacement and stress fields caused by uniform eigenstrains in a circular cylindrical inclusion are analyzed inside the region $x12+x22 and are given in terms of nonsingular surface integrals. Analytical solutions can be expressed as functions of the complete elliptic integrals of the first, second and third kind. The corresponding elastic fields in the region $x12+x22>a2,−∞ are solved by using the same technique (by Green’s functions) in the companion paper (Part II).

1.
Castles
R. R.
, and
Mura
T.
,
1985
, “
The Analysis of Eigenstrains Outside of an Ellipsoidal Inclusion
,”
Journal of Elasticity
, Vol.
15
, pp.
27
34
.
2.
Chiu
Y. P.
,
1977
, “
On the Stress Field Due to Initial Strains in a Cuboid Surrounded by an Infinite Elastic Space
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
44
, pp.
587
590
.
3.
Chiu
Y. P.
,
1978
, “
On the Stress Field and Surface Deformation in a Half Space With a Cuboidal Zone in Which Initial Strains Are Uniform
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
45
, pp.
302
306
.
4.
Eshelby
J. D.
,
1957
, “
The Determination of the Elastic Field of an Ellipsoidal Inclusion and Related Problems
,”
Proceedings of the Royal Society, London
, Vol.
A241
, pp.
376
396
.
5.
Eshelby
J. D.
,
1959
, “
The Elastic Field Outside an Elastic Inclusion
,”
Proceedings of the Royal Society, London
, Vol.
A252
, pp.
561
569
.
6.
Eshelby, J. D., 1961, “Elastic Inclusions and Inhomogeneities,” Progress in Solid Mechanics, Vol. 2, I. N. Sneddon and R. Hill, eds., North-Holland, Amsterdam, pp. 89–140.
7.
Hasegawa
H.
,
Lee
V. G.
, and
Mura
T.
,
1992
, “
The Stress Fields Caused by a Circular Cylindrical Inclusion
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
59
, pp.
S107–S114
S107–S114
.
8.
Mura, T., 1987, Micromechanics of Defects in Solids, Martinus Nijhoff.
9.
Mura
T.
,
1988
, “
Inclusion Problem
,”
ASME Applied Mechanics Review
, Vol.
41
, pp.
15
20
.
10.
Seo
K.
, and
Mura
T.
,
1979
, “
The Elastic Field in a Half Space Due to Ellipsoidal Inclusions With Uniform Dilatational Eigenstrains
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
46
, pp.
568
572
.
11.
Takao
Y.
,
Taya
M.
, and
Chou
T. W.
,
1981
, “
Stress Field Due to a Cylindrical Inclusion with Constant Axial Eigenstrain in an Infinite Elastic Body
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
48
, pp.
853
858
.
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